TEKS 8.5D Using Trendlines to Make Predictions

Front

What is a trendline in a scatter plot?

Back

A trendline is a line that best represents the data points in a scatter plot, showing the general direction of the data.

Front

How can trendlines be used to make predictions?

Back

Trendlines can be extended to estimate values for data points not explicitly shown in the scatter plot.

Front

What does it mean if a trendline slopes upwards?

Back

An upward slope indicates a positive correlation, meaning as one variable increases, the other variable also tends to increase.

Front

What does it mean if a trendline slopes downwards?

Back

A downward slope indicates a negative correlation, meaning as one variable increases, the other variable tends to decrease.

Front

What is the purpose of using scatter plots?

Back

Scatter plots are used to visualize the relationship between two quantitative variables.

Front

What is the significance of the y-intercept in a trendline?

Back

The y-intercept is the value of the dependent variable when the independent variable is zero, providing a starting point for the trendline.

Front

How do you determine the best fit line for a scatter plot?

Back

The best fit line is determined by minimizing the distance between the line and all data points, often using the least squares method.

Front

What is interpolation in the context of trendlines?

Back

Interpolation is predicting values within the range of the data points based on the trendline.

Front

What is extrapolation in the context of trendlines?

Back

Extrapolation is predicting values outside the range of the data points based on the trendline.

Front

What factors can affect the accuracy of predictions made using trendlines?

Back

Factors include the spread of data points, the presence of outliers, and the linearity of the relationship.